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Finding the Fourth Proportional to 278,057.58, 416,805.94 and 109,512.78

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Solution

The fourth proportional to 278,057.58, 416,805.94 and 109,512.78 is: 164,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.58 : 416,805.94 = 109,512.78 : x
  2. Step 2: Convert to fraction form
    278,057.58/416,805.94 = 109,512.78/x
  3. Step 3: Cross multiply
    278,057.58x = 416,805.94 × 109,512.78
  4. Step 4: Simplify right side
    278,057.58x = 45,645,577,209.91
  5. Step 5: Solve for x
    x = 45,645,577,209.91/278,057.58
  6. Step 6: Final answer
    x = 164,158.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.